Math Problem Statement

Persamaan hasil refleksi terhadap sumbu y dari fungsi f(x) = 2x - 5

Solution

The question on the screen is asking for the reflection of the function f(x)=2x5f(x) = 2x - 5 with respect to the y-axis. Let's find the equation of the reflection.

Reflection Across the Y-Axis:

For a function f(x)f(x), the reflection across the y-axis is given by replacing xx with x-x. So, if we have:

f(x)=2x5f(x) = 2x - 5

The reflected function is:

f(x)=2(x)5=2x5f(-x) = 2(-x) - 5 = -2x - 5

So, the equation of the reflected function across the y-axis is:

f(x)=2x5f(-x) = -2x - 5

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How do we reflect a function over the x-axis?
  2. What is the general rule for reflecting a function over the line y=xy = x?
  3. How does the graph of a linear function change when reflected over the y-axis?
  4. Can we reflect quadratic functions over the y-axis the same way as linear functions?
  5. What are some real-life applications of reflecting functions?

Tip: When reflecting functions, always remember to replace xx with x-x for reflections over the y-axis and yy with y-y for reflections over the x-axis.

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Math Problem Analysis

Mathematical Concepts

Reflections in Coordinate Geometry
Functions
Algebra

Formulas

Reflection across the y-axis: f(-x)
Linear equation formula: f(x) = mx + c

Theorems

The reflection theorem

Suitable Grade Level

Grades 10-12